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This page is primarily intended for simply listing my research works in English. For Japanese researchers, more detailed works are available at Researchmap (https://researchmap.jp/t-takeuchi).
Last updated: Aug 17, 2025.
Quick Introduction
Name
Taiki TAKEUCHI
Present Position
Assistant Professor,
Division of Advanced Mathematics Technology, Institute of Mathematics for Industry, Kyushu University.
744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan.
Email: takeuchi.taiki.643 [at] m.kyushu-u.ac.jp
Degree
Doctor (Science), Waseda University, Mar 15, 2023 (Supervisor: Hideo Kozono).
Personalia
Born on Nov 19, 1997, at Kanagawa, Japan.
Research Interest
Parabolic PDEs (Linear/Semilinear Heat, Navier–Stokes, Keller–Segel)
Regularity of solutions (Smoothing effect, Maximal regularity)
Harmonic Analysis (Besov spaces)
with Prof. Michael Winkler, Oberwolfach Seminar (Germany), Oct 2023.
with taiwanese sweet tea, International Conference (Taiwan), Apr 2025.
Short CV
Short CV
Employment
Oct 2024 – Present
Assistant Professor,
Division of Advanced Mathematics Technology, Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan.
Apr 2024 – Present
Part-time Teacher,
Faculty of Engineering, Kanagawa University, Kanagawa, Japan (Lecture: Analysis II).
Apr 2024 – Sep 2024
JSPS Research Fellowship for Young Scientists (PD),
Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, Japan.
Apr 2023 – Mar 2024
JSPS Research Fellowship for Young Scientists (PD),
Faculty of Science and Engineering, Waseda University, Tokyo, Japan.
Apr 2022 – Mar 2023
JSPS Research Fellowship for Young Scientists (DC2),
Department of Pure and Applied Mathematics, Graduate School of Fundamental Science and Engineering, Waseda University, Tokyo, Japan.
Education & Degree
Apr 2021 – Mar 2023 (2 years (Early completion))
Doctoral Program in Department of Pure and Applied Mathematics, Graduate School of Fundamental Science and Engineering, Waseda University, Tokyo, Japan.
Doctor (Science), Mar 15, 2023 (Supervisor: Hideo Kozono).
Title of doctoral Thesis: “Initial value problems for the Keller-Segel system and the Keller-Segel-Navier-Stokes system”.
URL: hdl.handle.net/2065/00094260
Apr 2020 – Mar 2021 (1 year (Early completion))
Master’s Program in Department of Pure and Applied Mathematics, Graduate School of Fundamental Science and Engineering, Waseda University, Tokyo, Japan.
Master (Science), Mar 15, 2021 (Supervisor: Hideo Kozono).
Title of master’s Thesis: “The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework”.
Apr 2017 – Mar 2020 (3 years)
Department of Mathematics, School of Fundamental Science and Engineering, Waseda University, Tokyo, Japan.
Bachelor (Science), Mar 15, 2020.
Apr 2016 – Mar 2017 (1 year)
School of Fundamental Science and Engineering, Waseda University, Tokyo, Japan.
List of Publications (Peer-reviewed)
List of Publications (Peer-reviewed)
18 Publications (Single-authored: 12 / Open Access: 11)
List of co-authors
Taichi Eguchi (Doctoral Student, Waseda University)
Tohru Ozawa (Professor, Waseda University)
Yoshihiro Sawano (Professor, Chuo University)
Keiichi Watanabe (Junior Associate Professor, Suwa University of Science)
T. Takeuchi, Mixed Lorentz-type space and its real interpolation,
to appear in Proceedings of the conference "Fluids and Maximal Regularity".
T. Takeuchi and K. Watanabe, Global well-posedness for the Keller–Segel–Navier–Stokes system with nonlinear boundary conditions,
to appear in Calc. Var. Partial Differential Equations.
Author Manuscript: arxiv.org/abs/2507.13684 (Open Access)
T. Takeuchi, On the strong solutions to the Navier-Stokes system with excessively singular external forces,
to appear in SIAM J. Math. Anal.
T. Takeuchi, Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation,
J. Dynam. Differential Equations (2025) (Early Access).
DOI: doi.org/10.1007/s10884-025-10443-5
Y. Sawano and T. Takeuchi, An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces,
Math. Methods Appl. Sci. (2025) (Early Access).
DOI: doi.org/10.1002/mma.11045
T. Takeuchi, On the Chemin–Lerner–Lorentz Space: Completeness, Real Interpolation, and Estimates of the Heat Semigroup,
J. Fourier Anal. Appl. 31 (2025), no. 3, Paper No. 27, 50 pp. [MR4900216]
DOI: doi.org/10.1007/s00041-025-10160-z
T. Takeuchi, Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces,
Adv. Nonlinear Anal. 14 (2025), no. 1, Paper No. 20250080, 29 pp. [MR4904872]
DOI: doi.org/10.1515/anona-2025-0080 (Open Access)
T. Eguchi and T. Takeuchi, Mild solutions of the MHD system with external forces in scaling invariant Besov spaces,
Z. Angew. Math. Phys. 76 (2025), no. 2, Paper No. 62, 26 pp. [MR4865342]
DOI: doi.org/10.1007/s00033-025-02435-8
T. Ozawa and T. Takeuchi, Refined Interpolation Inequality in Besov Spaces With Applications to the Gagliardo–Nirenberg Inequality,
Asymptot. Anal. 141 (2025), no. 2, 119–131.
DOI: doi.org/10.1177/09217134241308362
Author Manuscript: hdl.handle.net/2324/7342415 (Open Access)
T. Takeuchi, Well-posedness and inviscid limits for the Keller–Segel–Navier–Stokes system of the parabolic–elliptic type,
Math. Nachr. 298 (2025), no. 1, 53–86. [MR4848197]
DOI: doi.org/10.1002/mana.202300304
T. Ozawa and T. Takeuchi, A new proof of the Gagliardo–Nirenberg and Sobolev inequalities: Heat semigroup approach,
Proc. Amer. Math. Soc. Ser. B 11 (2024), 371–377. [MR4771860]
DOI: doi.org/10.1090/bproc/211 (Open Access)
T. Takeuchi, Breakdown of $C^{\infty}$-smoothing effects of solutions to the semilinear equation in the whole space,
Commun. Pure Appl. Anal. 23 (2024), no. 6, 830–872. [MR4762524]
DOI: doi.org/10.3934/cpaa.2024037
Author Manuscript: hdl.handle.net/2324/7325987 (Open Access)
T. Takeuchi, Remarks on the smoothing effect of the heat semigroup on $\dot{B}_{p,\infty}^s(\mathbb{R}^n)$,
Partial Differ. Equ. Appl. Math. 10 (2024), Paper No. 100718, 7 pp.
DOI: doi.org/10.1016/j.padiff.2024.100718 (Open Access)
T. Ozawa and T. Takeuchi, Refined Decay Estimate and Analyticity of Solutions to the Linear Heat Equation in Homogeneous Besov Spaces,
J. Fourier Anal. Appl. 29 (2023), no. 5, Paper No. 61, 27 pp. [MR4645085]
DOI: doi.org/10.1007/s00041-023-10042-2 (Open Access)
T. Takeuchi, Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces,
J. Differential Equations 343 (2023), 606–658. [MR4502228]
DOI: doi.org/10.1016/j.jde.2022.10.035
Author Manuscript: hdl.handle.net/2324/7325984 (Open Access)
T. Takeuchi, Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces,
Partial Differ. Equ. Appl. Math. 4 (2021), Paper No. 100174, 12 pp.
DOI: doi.org/10.1016/j.padiff.2021.100174 (Open Access)
T. Takeuchi, Maximal Lorentz regularity for the Keller–Segel system of parabolic–elliptic type,
J. Evol. Equ. 21 (2021), no. 4, 4619–4640. [MR4350582]
DOI: doi.org/10.1007/s00028-021-00728-9
Author Manuscript: hdl.handle.net/2324/7325982 (Open Access)
T. Takeuchi, The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework,
J. Differential Equations 298 (2021), 609–640. [MR4290255]
DOI: doi.org/10.1016/j.jde.2021.07.018
Author Manuscript: hdl.handle.net/2324/7325981 (Open Access)
List of Talks (Partially Japanese)
List of Talks (Partially Japanese)
33 Talks (Invited: 23 / International: 10)
FY 2025
T. Takeuchi, The Navier-Stokes system with singular external forces in the framework of Sobolev spaces,
The 12th East Asian Conference in Harmonic Analysis and Applications (Jeonbuk National University (Korea)), Aug 12, 2025 (Invited, International conference).
URL: conference.math.snu.ac.kr/eachaa2025
T. Takeuchi, Global solutions of the Keller–Segel–Navier–Stokes system with rotational flux,
2025 Spring NSTC-NCTS-MRPC Joint Conference on Interdisciplinary Research (National Penghu University of Science and Technology (Taiwan)), May 1, 2025 (Invited, International conference).
FY 2024
T. Takeuchi, Maximal regularity approach to the chemotaxis-fluid system with rotational flux,
第152回 日本数学会九州支部例会 (Kyushu University), Feb 15, 2025.
URL: www2.math.kyushu-u.ac.jp/%7Ekyushushibu/ (Japanese)
T. Takeuchi, Strong solutions to the chemotaxis-fluid system with nonlinear boundary conditions,
第847回 応用解析研究会 (Waseda University), Dec 7, 2024 (Invited).
URL: www.ozawa.phys.waseda.ac.jp/sams/history/2024.html (Japanese)
T. Takeuchi, On the strong solutions to the Keller–Segel–Navier–Stokes system with rotational flux,
第1回 北陸微分方程式研究集会 (The Kanazawa Theatre), Nov 24, 2024 (Invited).
URL: sites.google.com/view/hokuriku-diff-workshop (Japanese)
T. Takeuchi, Global well-posedness for the Keller–Segel–Navier–Stokes system with rotational flux,
九州大学 解析セミナー (Kyushu University), Nov 8, 2024 (Invited).
URL: www2.math.kyushu-u.ac.jp/FE-Seminar/analysis/2024.html (Japanese)
T. Takeuchi and K. Watanabe, Maximal regularity approach to the Keller–Segel–Navier–Stokes system with nonlinear boundary conditions,
日本数学会 2024年度 秋季総合分科会 (The University of Osaka), Sep 6, 2024.
URL: www.mathsoc.jp/activity/meeting/osaka24sept/index.html (Japanese)
T. Takeuchi, On the generalized Chemin-Lerner spaces via the Lorentz spaces in time,
第5回 大同大学若手微分方程式セミナー (National Institute of Technology, Kushiro College), Aug 31, 2024 (Invited).
URL: drive.google.com/file/d/1hQw0VEIR2IpoWGkFETAmahAI4iTq1KLY/view (Japanese)
T. Takeuchi, The Lorentz-Chemin-Lerner space and its characterizations,
The 11th East Asian Conference in Harmonic Analysis and Applications (Kyoto University), Aug 19, 2024 (International conference).
URL: www.math.kyoto-u.ac.jp/%7Eytsutsui/11thEastAsian/page.html
T. Takeuchi, Global solvability of the chemotaxis-fluid system with rotational flux via the maximal regularity theory,
第195回 神楽坂解析セミナー (Tokyo University of Science), Aug 4, 2024 (Invited).
URL: www.rs.tus.ac.jp/k-seminar/seminar-195.html (Japanese)
T. Takeuchi, Real interpolations on the Lorentz-Besov-type spaces,
第43回 調和解析定例セミナー (Chuo University), Jun 15, 2024 (Invited).
URL: www.rs.tus.ac.jp/tnogayama/past-seminars.html (Japanese)
T. Takeuchi, Breakdown of smoothness of solutions to the semilinear heat equation,
第2回 信州若里偏微分方程式セミナー (Shinshu University), Apr 22, 2024 (Invited).
URL: researchmap.jp/i-fukuda/academic_contribution/41351356 (Japanese)
T. Takeuchi, On regularities of sign-changing solutions of the semilinear heat equation,
京都大学NLPDEセミナー (Kyoto University), Apr 19, 2024 (Invited).
URL: www.kurims.kyoto-u.ac.jp/%7Enobu/nlpde/2024.html (Japanese)
FY 2023
T. Takeuchi, On the large-time behaviors of global solutions to the chemotaxis-fluid system in Lorentz spaces,
The 7th International Workshop on the Mathematical Analysis of Chemotaxis (Kyoto University of Education), Mar 6, 2024 (Invited, International conference).
URL: sites.google.com/view/iwmac7/home
T. Takeuchi, On the breakdown of $C^{\infty}$-smoothness for the semilinear heat equation,
第17回 若手のための偏微分方程式と数学解析 (Kyushu University), Feb 14, 2024 (Invited).
URL: www2.math.kyushu-u.ac.jp/FE-Seminar/wakate/program/wakate-pde-17(2024).pdf (Japanese)
T. Takeuchi, Threshold of regularities of solutions to the semilinear heat equation,
鳥取PDE研究集会 2023 (鳥取県立生涯学習センター), Nov 24, 2023 (Invited).
URL: researchmap.jp/7000021015/academic_contribution/44130393 (Japanese)
T. Takeuchi, 線形および半線形熱方程式の解の平滑化効果,
東京理科大学 創域理工学部 数理科学科 談話会 (Tokyo University of Science), Nov 1, 2023 (Invited).
URL: dept.tus.ac.jp/st-ma/2023/10/03/900/ (Japanese)
T. Takeuchi, Breakdown of $C^{\infty}$-smoothing effects for the Fujita type equation,
日本数学会 2023年度 秋季総合分科会 (Tohoku University), Sep 21, 2023.
URL: www.mathsoc.jp/activity/meeting/tohoku23sept/ (Japanese)
T. Takeuchi, Breakdown of smoothing effects of solutions to the semilinear heat equation,
第44回 発展方程式若手セミナー (Kyoto University of Education), Sep 5, 2023.
URL: sites.google.com/view/wakate44-2023/ (Japanese)
T. Takeuchi, Vanishing viscosity limit for the Navier-Stokes system and its related topics,
Seminari M.A.P. Metodi analitici e probabilistici (Online), Apr 26, 2023 (Invited, International seminar).
URL: seminarimap.wixsite.com/seminarimap/articoli/taiki-takeuchi
FY 2022
T. Takeuchi, Vanishing viscosity method for the Keller-Segel-Navier-Stokes system,
The 6th International Workshop on the Mathematical Analysis of Chemotaxis (Leibniz University Hannover (Germany)), Feb 13, 2023 (Invited, International conference).
URL: www.ifam.uni-hannover.de/en/iwmac6
T. Takeuchi, On the inviscid limit problem for the Keller-Segel-Navier-Stokes system,
若手による流体力学の基礎方程式の研究集会 (Nagoya University), Jan 6, 2023 (Invited).
URL: www.math.nagoya-u.ac.jp/%7Ejkato/NS/2023.pdf (Japanese)
T. Takeuchi, Inviscid limits for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type,
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics (Waseda University), Dec 6, 2022 (Invited, International conference).
URL: www.sgu-mathphys.sci.waseda.ac.jp/event/ws2022/
T. Takeuchi, Inviscid limits of solutions to the Keller-Segel-Navier-Stokes system,
黒木場正城教授 追悼研究集会 「非線型偏微分方程式と走化性」 (Kitakyushu International Conference Center), Dec 1, 2022 (Invited).
URL: u.muroran-it.ac.jp/pde/sympo_20221129.html (Japanese)
T. Takeuchi, On the local well-posedness and inviscid limits for the Keller-Segel-Navier-Stokes system,
日本数学会 2022年度 秋季総合分科会 (Hokkaido University), Sep 16, 2022.
URL: www.mathsoc.jp/activity/meeting/hokudai22sept/ (Japanese)
T. Takeuchi, On the vanishing viscosity method for the Keller-Segel-Navier-Stokes system,
第43回 発展方程式若手セミナー (Online), Sep 7, 2022.
URL: www.xmath.ous.ac.jp/%7Euriya/conference/wakate/wakate_seminar43.html (Japanese)
T. Takeuchi, Vanishing viscosity limit of solutions of the Keller-Segel-Navier-Stokes system,
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics” (Waseda University), Jul 26, 2022 (Invited, International conference).
URL: www.waseda.jp/fsci/mathphys/news/15349 (Japanese)
T. Takeuchi, On the inviscid limits for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type,
東北大学 OS特別セミナー (Tohoku University), Jun 24, 2022 (Invited).
URL: www.math.tohoku.ac.jp/~tams/kiroku2022.html (Japanese)
T. Takeuchi, Inviscid limit problem for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type,
Young Researchers’ Forum on Mathematical Fluid Mechanics (Online), Jun 21, 2022 (International conference).
FY 2021
T. Takeuchi, On the maximal Lorentz regularity theorem for the Keller-Segel system of parabolic-parabolic type,
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics (Online), Dec 3, 2021 (Invited, International conference).
URL: www.sgu-mathphys.sci.waseda.ac.jp/event/ws2021/
T. Takeuchi, On the Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework,
日本数学会 2021年度 秋季総合分科会 (Online), Sep 15, 2021.
URL: www.mathsoc.jp/activity/meeting/chiba21sept/ (Japanese)
T. Takeuchi, On the Keller-Segel system of parabolic-parabolic type with initial data in homogeneous Besov spaces,
第42回 発展方程式若手セミナー (Online), Aug 31, 2021.
URL: www2.kobe-u.ac.jp/%7Eueda/Wakate42/index.html (Japanese)
FY 2020
T. Takeuchi, The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework,
非線形PDE若手ワークショップ (Online), Mar 6, 2021 (Invited).
URL: www.sci.kanagawa-u.ac.jp/math-phys/hmatsu/NLPDEwakate2021.html (Japanese)
Research Databases
Research Databases
MathSciNet
URL: mathscinet.ams.org/mathscinet/author?authorId=1448080
Google Scholar
URL: scholar.google.com/citations?user=guouYMsAAAAJ&hl=ja
Web of Science
URL: webofscience.com/wos/author/record/HJI-7228-2023
Scopus
URL: www.scopus.com/authid/detail.uri?authorId=57224406956
Research Gate
URL: www.researchgate.net/profile/Taiki-Takeuchi?ev=hdr_xprf
zbMATH
URL: zbmath.org/authors/takeuchi.taiki
ORCID
URL: orcid.org/0000-0001-7301-994X
Researchmap (Japanese)
URL: researchmap.jp/t-takeuchi
KYUSHU UNIVERSITY Researchers (Japanese)
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